Emission of electromagnetic radiation in α-decay

Mișicu, Ş.; Rizea, M.; Greiner, Walter

doi:10.1088/0954-3899/27/5/304

Cited by 30 publications

(31 citation statements)

References 20 publications

(25 reference statements)

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“…It is consistent with the finding of the authors of Ref. [5] who use an M = 2, r = 3 method and obtain two orders of magnitude improvement of the results of Refs. [1,3].…”

Section: B Propagation Of a Wavepacketsupporting

confidence: 93%

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Accurate numerical solutions of the time-dependent Schrödinger equation

Dijk

Toyama

2007

Phys. Rev. E

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We present a generalization of the often-used Crank-Nicolson (CN) method of obtaining numerical solutions of the time-dependent Schrödinger equation. The generalization yields numerical solutions accurate to order (∆x) 2r−1 in space and (∆t) 2M in time for any positive integers r and M , while CN employ r = M = 1. We note dramatic improvement in the attainable precision (circa 10 or greater orders of magnitude) along with several orders of magnitude reduction of computational time. The improved method is shown to lead to feasible studies of coherent-state oscillations with additional short-range interactions, wavepacket scattering, and long-time studies of decaying systems.

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“…It is consistent with the finding of the authors of Ref. [5] who use an M = 2, r = 3 method and obtain two orders of magnitude improvement of the results of Refs. [1,3].…”

Section: B Propagation Of a Wavepacketsupporting

confidence: 93%

“…It goes beyond the improvement of Ref. [5] in a systematic way. It also is an advance over the method of Ref.…”

Section: Remarksmentioning

confidence: 93%

Accurate numerical solutions of the time-dependent Schrödinger equation

Dijk

Toyama

2007

Phys. Rev. E

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“…Enough well description of experimental data has already been achieved in such approach, where one can note a resent success in agreement between theory and experiment for the controversial nucleus 210 Po [8,9]. Perspectives are certain in study of dynamics of the α-decay with some analysis of the bremsstrahlung [5,10,11], in study of dynamics of tunneling in the α-decay [12,13,14,15], in research of peculiarities of the polarized bremsstrahlung during α-decay and influence of electron shells on it [16], in effect [17] called as Münchhausen effect which increases penetrability of the barrier due to charged-particle emission during its tunneling and which could be interesting for further study of the photon bremsstrahlung during tunneling in the α-decay. However, the fully quantum approach (starting from [18] and then [19,20]) seems to be the most accurate and motivated from the physical point of view in description of emission of photons, to be the richest in study of quantum properties and new effects.…”

Section: Introductionmentioning

confidence: 99%

Multipolar Approach for Description of Bremsstrahlung During α -Decay and Unified Formula of the Bremsstrahlung Probability

Maydanyuk¹

2009

TONPPJ

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Model of angular bremsstrahlung of photons emitted during α-decay is presented. A special emphasis is given on development of unified formalism of matrix elements in the dipole and multipolar approaches. A probability of the emission of photons calculated on the basis of the multipole model without any normalization on experimental data (i. e. in absolute scale) is found at 90• of the angle ϑαγ between directions of motion of the α-particle (with its tunneling under barrier) and emission of photons to be in a good agreement with the newest experimental data for the 210 Po, 214 Po, and 226 Ra nuclei. The spectrum for 244 Cm is found at ϑαγ = 25• to be in satisfactory agreement with high limit of errors of experimental data of Japanese group. A comparative analysis for the spectra calculated for 210 Po by the multipole and dipole approaches in the absolute scale and with normalization on experimental data is performed. The emission of photons from the internal well in the dipole approach is found to be not small while the multipolar approach does not show such a strong dependence. Distribution of the bremsstrahlung probability on the numbers of protons and nucleons of the α-decaying nucleus in selected region close to 210 Po is obtained. An unified formula of the bremsstrahlung probability during the α-decay of arbitrary nucleus expressed directly through the Qα-value and numbers Ap, Zp of nucleons and protons of this nucleus is proposed.

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“…One can recall also papers [16,17,18,19] with study of dynamics of subbarrier tunneling in the α-decay; an effect, opened in [20] and named Münchhausen effect, which increases the barrier penetrability due to charged-particle emission during its tunneling and which can be extremely interesting for further study of the photon bremsstrahlung during subbarier tunneling in the α-decay). However, one needs to say that at this stage the calculations of the Br spectra by all these approaches are reduced to obtaining their integral (or averaged by angles) values and, therefore, they do not allow to fulfill an angular analysis of the experimental Br spectra (here, one can quote an approach in [14] based on classical electrodynamics, which shows a way for obtaining the angular spectra (see (15) and (17), p. 999), however here we shall use the direct quantum-mechanical approach of the Br spectra calculation, which describes the quantum effect of the subbarrier Br more precisely).…”

Section: Introductionmentioning

confidence: 99%

Angular analysis of bremsstrahlung in α-decay

Maydanyuk

Olkhovsky

2006

Eur. Phys. J. A

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This paper is dedicated to the memory of Dr. Ivan Egorovich Kashuba -a brilliant scientist with bright nature who worked in science till his last days. Abstract.A new quantum electrodynamical method of calculations of bremsstrahlung spectra in the α-decay of heavy nuclei taking into account the angle between the directions of α-particle motion (or its tunneling) and photon emission is presented. The angular bremsstrahlung spectra for 210 Po have been obtained for the first time. According to calculations, the bremsstrahlung in the α-decay of this nucleus depends extremely weakly on the angle. Taking into account nuclear forces, such dependence is not changed visibly. An analytical formula of the angular dependence of the bremsstrahlung spectra is proposed and gives its harmonic behavior. The extremal values of the angle, at which the bremsstrahlung has maximal and minimal values, has been found.

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Emission of electromagnetic radiation in α-decay

Cited by 30 publications

References 20 publications

Accurate numerical solutions of the time-dependent Schrödinger equation

Accurate numerical solutions of the time-dependent Schrödinger equation

Multipolar Approach for Description of Bremsstrahlung During α -Decay and Unified Formula of the Bremsstrahlung Probability

Angular analysis of bremsstrahlung in α-decay

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